The first INTEGRAL observations of the Small Magellanic Cloud (carried out in
2003) are reported in which two sources are clearly detected. The first source,
SMC X-1, shows a hard X-ray eclipse and measurements of its pulse period
indicate a continuation of the long-term spin-up now covering ~30 years. The
second source is likely to be a high mass X-ray binary, and shows a potential
periodicity of 6.8s in the IBIS lightcurve. An exact X-ray or optical
counterpart cannot be designated, but a number of proposed counterparts are
discussed. One of these possible counterparts shows a strong coherent optical
modulation at ~2.7d, which, together with the measured hard X-ray pulse period,
would lead to this INTEGRAL source being classified as the fourth known high
mass Roche lobe overflow system.Comment: Accepted for publication in MNRA